Research ArticleNo Access

Modified holographic energy density-driven inflation and some cosmological outcomes

Department of Mathematics, Amity University, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata 700135, India

E-mail Address: gargeeck138@gmail.com

Search for more papers by this author

and

Surajit Chattopadhyay

http://orcid.org/0000-0002-5175-2873

Department of Mathematics, Amity University, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata 700135, India

E-mail Address: schattopadhyay1@kol.amity.edu

E-mail Address: surajitchatto@outlook.com

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S0219887820500668Cited by:27 (Source: Crossref)

Abstract

Motivated by the work of Nojiri et al. [S. Nojiri, S. D. Odintsov and E. N. Saridakis, Holographic inflation, Phys. Lett. B 797 (2019) 134829], this study reports a model of inflation under the consideration that the inflationary regime is originated by a type of holographic energy density. The infrared cutoff has been selected based on the modified holographic model that is a particular case of Nojiri–Odintsov holographic dark energy [S. Nojiri and S. D. Odintsov, Unifying phantom inflation with late-time acceleration: Scalar phantom–non-phantom transition model and generalized holographic dark energy, Gen. Relativ. Gravit. 38 (2006) 1285] that unifies phantom inflation with the acceleration of the universe on late time. On getting an analytical solution for Hubble parameter we considered the presence of bulk viscosity and the effective equation of state parameter appeared to be consistent with inflationary scenario with some constraints. It has also being observed that in the inflationary scenario the contribution of bulk viscosity is not of much significance and its influence is increasing with the evolution of the universe. Inflationary observables have been computed for the model and the slow-roll parameters have been computed. Finally, it has been observed that the trajectories in $n_{s} - r$ are compatible with the observational bound found by Planck. It has been concluded that the tensor to scalar ratio for this model can explain the primordial fluctuation in the early universe as well.

Keywords:

AMSC: 83F05, 83C99

References

1. S. Nojiri, S. D. Odintsov and E. N. Saridakis, Holographic inflation, Phys. Lett. B 797 (2019) 134829. Web of Science, Google Scholar
2. L. N. Granda and A. Oliveros, Infrared cut-off proposal for the holographic density, Phys Lett. B. 669 (2008) 275. Web of Science, Google Scholar
3. L. P. Chimento and M. G. Richarte, Interacting dark matter and modified holographic Ricci dark energy induce a relaxed Chaplygin gas, Phys. Rev. D 84 (2007) 123507. Web of Science, Google Scholar
4. A. Jawad, N. Videla and F. Gulshan, Dynamics of warm power-law plateau inflation with a generalized inflaton decay rate: Predictions and constraints after Planck 2015, Eur. Phys. J. C. 77 (2017) 271. Web of Science, Google Scholar
5. G.’t Hooft, Dimensional reduction in quantum gravity, Salamfest 1993:0284–296, preprint (1993), arXiv:gr-qc/9310026. Google Scholar
6. A. Oliveros and M. A. Acero, Inflation driven by a holographic energy density, preprint (2019), arXiv:1911.04482v1 [gr-qc]. Google Scholar
7. M. Li, A model of holographic dark energy, Phys. Lett. B 603 (2004) 1. Web of Science, Google Scholar
8. S. Chattopadhyay, A. Pasqua, I. Radinschi and A. Beesham, Dynamics of single-field inflation in the framework of holographic gravity, Int. J. Geom. Methods Mod. Phys. 15 (2018) 1850167. Link, Web of Science, Google Scholar
9. S. Nojiri, S. D. Odintsov, E. N. Saridakis and R. Myrzakulov, Correspondence of cosmology from non-extensive thermodynamics with fluids of generalized equation of state, Nucl. Phys. B 950 (2020) 114850. Web of Science, Google Scholar
10. S. Nojiri, S. D. Odintsov and E. N. Saridakis, Holographic bounce, Nucl. Phys. B 949 (2019) 114790. Web of Science, Google Scholar
11. S. Nojiri and S. D. Odintsov, Covariant generalized holographic dark energy and accelerating universe, Eur. Phys. J. C 77 (2017) 528. Web of Science, Google Scholar
12. K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Dark energy cosmology: The equivalent description via different theoretical models and cosmography tests, Astrophys. Space Sci. 342 (2012) 155. Web of Science, Google Scholar
13. S. Nojiri and S. D. Odintsov, Unifying phantom inflation with late-time acceleration: Scalar phantom–non-phantom transition model and generalized holographic dark energy, Gen. Relativ. Gravit. 38 (2006) 1285. Web of Science, Google Scholar
14. S. Wang, Y. Wang and M. Li, Holographic dark energy, Phys. Rep. 696 (2016) 1. Web of Science, Google Scholar
15. L. Diosi, B. Keszthelyi, B. Lukacs and G. Paal, Viscosity and the monopole density of the universe, Acta Phys. Pol. B 15 (1984) 909. Web of Science, Google Scholar
16. I. Waga, R. C. Falcao and R. Chanda, Bulk-viscosity-driven inflationary model, Phys. Rev. D 33 (1986) 1839. Web of Science, Google Scholar
17. T. Pacher, J. A. Stein-Schabes and M. S. Turner, Can bulk viscosity drive inflation? Phys. Rev. D 36 (1987) 1603. Web of Science, Google Scholar
18. R. Maartens and V. Méndez, Nonlinear bulk viscosity and inflation, Phys. Rev. D 55 (1997) 1937. Web of Science, Google Scholar
19. K. Bamba and S. D. Odintsov, Inflation in a viscous fluid model, Eur. Phys. J. C 76 (2016) 18. Web of Science, Google Scholar
20. A. A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. B 91 (1980) 99. Web of Science, Google Scholar
21. S. Capozziello, Curvature quintessence, Int. J. Mod. Phys. D 11 (2002) 483, arXiv: gr-qc/0201033. Link, Web of Science, Google Scholar
22. J. Martin, C. Ringeval and V. Vennin, Encyclopædia inflationaris, Phys. Dark Universe 5–6 (2014) 75, arXiv: 1303.3787 [astro-ph.CO]. Web of Science, Google Scholar
23. H. Kim, H. W. Lee and Y. S. Myung, Equation of state for an interacting holographic dark energy model, Phys. Lett. B 632 (2006) 605, arXiv: gr-qc/0509040. Web of Science, Google Scholar
24. E. N. Saridakis, Restoring holographic dark energy in brane cosmology, Phys. Lett. B 660 (2008) 138, arXiv: 0712.2228 [hep-th]. Web of Science, Google Scholar
25. Y. Gong and T. Li, A modified holographic dark energy model with infrared infinite extra dimension (s), Phys. Lett. B 683 (2010) 241, arXiv: 0907.0860 [hep-th]. Web of Science, Google Scholar
26. M. Bouhmadi-Lopez, A. Errahmani and T. Ouali, Cosmology of a holographic induced gravity model with curvature effects, Phys. Rev. D 84 (2011) 083508, arXiv: 1104.1181 [astro-ph.CO]. Web of Science, Google Scholar
27. L. Ackerman et al., Constraining the inflationary equation of state, J. Cosmol. Astro. Phys. 05 (2011) 024. Web of Science, Google Scholar
28. E. Elizalde and A. V. Timoshkin, Viscous fluid holographic inflation. Eur. Phys. J. C 79 (2019) 732. Web of Science, Google Scholar